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Finding the Third Proportional to 22,181,586,311 and 49,322,658,766

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Solution

The third proportional to 22,181,586,311 and 49,322,658,766 is: 109,673,160,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181,586,311 : 49,322,658,766 = 49,322,658,766 : x
  2. Step 2: Convert to fraction form
    22,181,586,311/49,322,658,766 = 49,322,658,766/x
  3. Step 3: Cross multiply
    22,181,586,311x = 49,322,658,766 × 49,322,658,766
  4. Step 4: Simplify right side
    22,181,586,311x = 2,432,724,667,747,276,423,168
  5. Step 5: Solve for x
    x = 2,432,724,667,747,276,423,168/22,181,586,311
  6. Step 6: Final answer
    x = 109,673,160,144.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.